Turbine nozzle profile

ABSTRACT

Various embodiments of the invention include turbine nozzles and systems employing such nozzles. Various particular embodiments include a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the at least one endwall including an axisymmetric contour.

FIELD OF THE INVENTION

The subject matter disclosed herein relates to turbomachines. Moreparticularly, the subject matter disclosed herein relates to componentswithin turbomachines such as gas and/or steam turbines.

BACKGROUND OF THE INVENTION

Some aircraft and/or power plant systems, for example certain jetaircraft, nuclear, simple cycle and combined cycle power plant systems,employ turbines (also referred to as turbomachines) in their design andoperation. Some of these turbines employ airfoils (e.g., turbine blades,blades, airfoils, etc.) which during operation are exposed to fluidflows. These airfoils are configured to aerodynamically interact withthe fluid flows and generate energy (e.g., creating thrust, turningkinetic energy to mechanical energy, thermal energy to mechanicalenergy, etc.) from these fluid flows as part of power generation. As aresult of this interaction and conversion, the aerodynamiccharacteristics and losses of these airfoils have an impact on systemand turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE INVENTION

Various embodiments of the invention include turbine nozzles and systemsemploying such nozzles. Various particular embodiments include a turbinenozzle having: an airfoil having: a suction side; a pressure sideopposing the suction side; a leading edge spanning between the pressureside and the suction side; and a trailing edge opposing the leading edgeand spanning between the pressure side and the suction side; and atleast one endwall connected with the airfoil along the suction side,pressure side, trailing edge and the leading edge, the at least oneendwall including an axisymmetric contour.

A first aspect of the invention includes a turbine nozzle having: anairfoil having: a suction side; a pressure side opposing the suctionside; a leading edge spanning between the pressure side and the suctionside; and a trailing edge opposing the leading edge and spanning betweenthe pressure side and the suction side; and at least one endwallconnected with the airfoil along the suction side, pressure side,trailing edge and the leading edge, the at least one endwall includingan axisymmetric contour.

A second aspect of the invention includes a static nozzle sectionhaving: a set of static nozzles, the set of static nozzles including atleast one nozzle having: an airfoil having: a suction side; a pressureside opposing the suction side; a leading edge spanning between thepressure side and the suction side; and a trailing edge opposing theleading edge and spanning between the pressure side and the suctionside; and at least one endwall connected with the airfoil along thesuction side, pressure side, trailing edge and the leading edge, the atleast one endwall including an axisymmetric contour, wherein at leastone of the suction side or the pressure side of the airfoil includes anominal profile substantially in accordance with Cartesian coordinatevalues of X, Y and Z set forth in TABLE I, wherein the coordinate valuesare non-dimensional values of from 0 to 1 convertible to distances bymultiplying the values by a leading edge height expressed in units ofdistance, and wherein X and Y values connected by smooth continuing arcsdefine airfoil profile sections at each distance Z along the airfoil,the profile sections at the Z distances being joined smoothly with oneanother to form the airfoil profile, wherein the Cartesian coordinatevalues have an origin at a root of the leading edge of the airfoil.

A third aspect of the invention includes a turbine nozzle having: anairfoil having: a suction side; a pressure side opposing the suctionside; a leading edge spanning between the pressure side and the suctionside; and a trailing edge opposing the leading edge and spanning betweenthe pressure side and the suction side; and at least one endwallconnected with the airfoil along the suction side, pressure side,trailing edge and the leading edge, wherein at least one of the suctionside or the pressure side of the airfoil includes a nominal profilesubstantially in accordance with Cartesian coordinate values of X, Y andZ set forth in TABLE I, wherein the coordinate values arenon-dimensional values of from 0 to 1 convertible to distances bymultiplying the values by a leading edge height expressed in units ofdistance, and wherein X and Y values connected by smooth continuing arcsdefine airfoil profile sections at each distance Z along the airfoil,the profile sections at the Z distances being joined smoothly with oneanother to form the airfoil profile, wherein the Cartesian coordinatevalues have an origin at a root of the leading edge of the airfoil.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this invention will be more readilyunderstood from the following detailed description of the variousaspects of the invention taken in conjunction with the accompanyingdrawings that depict various embodiments of the invention, in which:

FIG. 1 shows a three-dimensional partial cut-away perspective view of aportion of a turbine according to an embodiment of the invention.

FIG. 2 shows a schematic three-dimensional depiction of a turbine nozzleincluding an airfoil and endwalls according to various embodiments ofthe invention.

FIG. 3 shows a comparison between a linear outer flow path and a curvedaxisymmetrical outer flow path contour according to various embodimentsof the invention.

FIG. 4 shows a schematic three-dimensional depiction of a plurality ofturbine nozzles according to various embodiments of the invention.

FIG. 5 shows a schematic block diagram illustrating portions of amulti-shaft combined cycle power plant system according to embodimentsof the invention; and

FIG. 6 shows a schematic block diagram illustrating portions of asingle-shaft combined cycle power plant system according to embodimentsof the invention.

It is noted that the drawings of the invention are not necessarily toscale. The drawings are intended to depict only typical aspects of theinvention, and therefore should not be considered as limiting the scopeof the invention. It is understood that elements similarly numberedbetween the FIGURES may be substantially similar as described withreference to one another. Further, in embodiments shown and describedwith reference to FIGS. 1-6, like numbering may represent like elements.Redundant explanation of these elements has been omitted for clarity.Finally, it is understood that the components of FIGS. 1-6 and theiraccompanying descriptions may be applied to any embodiment describedherein.

DETAILED DESCRIPTION OF THE INVENTION

As noted herein, various aspects of the invention are directed towardturbine nozzles. Particular aspects of the invention include turbinenozzles having at least one endwall with an axisymmetric contour.

In contrast to conventional turbine nozzles, aspects of the inventioninclude a turbine nozzle (e.g., a static nozzle for directing a workingfluid such as gas or steam) having an axisymmetric contour. Thisaxisymmetric contour can provide for enhanced performance, efficiencyand/or durability of the nozzle (and associated turbine stages andturbine machines) when compared with conventional nozzles.

As used herein, the terms “axial” and/or “axially” refer to the relativeposition/direction of objects along axis A, which is substantiallyparallel to the axis of rotation of the turbomachine (in particular, therotor section). As further used herein, the terms “radial” and/or“radially” refer to the relative position/direction of objects alongaxis (r), which is substantially perpendicular with axis A andintersects axis A at only one location. Additionally, the terms“circumferential” and/or “circumferentially” refer to the relativeposition/direction of objects along a circumference which surrounds axisA but does not intersect the axis A at any location. Further, the termsleading edge/pressure side refer to components and/or surfaces which areoriented upstream relative to the fluid flow of the system, and theterms trailing edge/suction side refer to components and/or surfaceswhich are oriented downstream relative to the fluid flow of the system.

In the following description, reference is made to the accompanyingdrawings that form a part thereof, and in which is shown by way ofillustration specific embodiments in which the present teachings may bepracticed. These embodiments are described in sufficient detail toenable those skilled in the art to practice the present teachings and itis to be understood that other embodiments may be utilized and thatchanges may be made without departing from the scope of the presentteachings. The following description is, therefore, merely exemplary.

Referring to the drawings, FIG. 1 shows a perspective partial cut-awayillustration of a turbine 10 (e.g., gas or steam turbine and/or aviationjet engine) according to various embodiments of the invention. Turbine10 includes a rotor 12 that includes a rotating shaft 14 and a pluralityof axially spaced rotor wheels 18. A plurality of rotating buckets 20are mechanically coupled to each rotor wheel 18. More specifically,buckets 20 are arranged in rows that extend circumferentially aroundeach rotor wheel 18. A static nozzle section 21 is shown including aplurality of stationary nozzles 22 circumferentially around shaft 14,and nozzles 22 are axially positioned between adjacent rows of buckets20. Stationary nozzles 22 cooperate with buckets 20 to form a stage ofturbine 10, and to define a portion of a flow path through turbine 10.As shown, static nozzle section 21 at least partially surrounds rotor 12(shown in this cut-away view). It is understood that turbine 10 shown isa dual-flow turbine 10 that includes an axially centered inlet mouthwhich feeds two sets of turbine stages. It is understood that variousteachings can be applied to axial turbines, e.g., axial inlet gasturbines that inlet a combustion gas from a first axial end and outletthat combustion gas to a second axial end after the gas has performedmechanical work on the turbine.

Returning to FIG. 1, in operation, gas 24 enters an inlet 26 of turbine10 and is channeled through stationary nozzles 22. Nozzles 22 direct gas24 against blades 20. Gas 24 passes through the remaining stagesimparting a force on buckets 20 causing shaft 14 to rotate. At least oneend of turbine 10 may extend axially away from rotating shaft 12 and maybe attached to a load or machinery (not shown) such as, but not limitedto, a generator, and/or another turbine.

In one embodiment, turbine 10 may include five stages. The five stagesare referred to as L0, L1, L2, L3 and L4. Stage L4 is the first stageand is the smallest (in a radial direction) of the five stages. Stage L3is the second stage and is the next stage in an axial direction. StageL2 is the third stage and is shown in the middle of the five stages.Stage L1 is the fourth and next-to-last stage. Stage L0 is the laststage and is the largest (in a radial direction). It is to be understoodthat five stages are shown as one example only, and each turbine mayhave more or less than five stages. Also, as will be described herein,the teachings of the invention do not require a multiple stage turbine.In another embodiment, turbine 10 may comprise an aircraft engine usedto produce thrust.

Turning to FIG. 2, a schematic three-dimensional depiction of a turbinenozzle (or simply, nozzle) 200 is shown according to variousembodiments. Nozzle 200 is a stationary nozzle which forms an annulus ofstationary nozzles in a stage of a turbine (e.g., turbine 10). That is,during operation of a turbine (e.g., turbine 10), nozzle 200 will remainstationary in order to direct the flow of working fluid (e.g., gas orsteam) to one or more movable buckets (e.g., buckets 20), causing thosemovable buckets to initiate rotation of a rotor shaft (e.g., shaft 14).It is understood that nozzle 200 is configured to couple (mechanicallycouple via fasteners, welds, slot/grooves, etc.) with a plurality ofsimilar or distinct nozzles (e.g., nozzles 200 or other nozzles) to forman annulus of nozzles in a stage of the turbine.

Returning to FIG. 2, turbine nozzle 200 can include an airfoil 202having a suction side 204, and a pressure side 206 (obstructed in thisview) opposing the suction side 204. Nozzle 200 can also include aleading edge 208 spanning between the pressure side 206 and the suctionside 204, and a trailing edge 210 opposing leading edge 208 and spanningbetween pressure side 206 and suction side 204.

As shown, nozzle 200 can also include at least one endwall 212 (twoshown) connected with airfoil 202. Endwall 212 can be connected withairfoil 202 along suction side 204, pressure side 206, trailing edge 210and leading edge 208. In various embodiments, nozzle includes a fillet214 connecting nozzle 200 and each endwall 212. Fillet 214 can include aweld or braze fillet, which may be formed via conventional MIG welding,TIG welding, brazing, etc.

As described herein, and in contrast to conventional turbine nozzles,turbine nozzle 200 can include at least one endwall 212 with anaxisymmetric contour 218. That is, nozzle 200 includes an endwall 212with a contour 218 proximate junction 220 between endwall 212 andsuction side 204 of airfoil 202 that improves the flow area aroundairfoil 202 when compared with conventional nozzles.

In various embodiments, contour 218 allows for more efficient fluid flowacross airfoil 202 than conventional nozzles 200, allowing for fewerheat load-related failures, and improving the efficiency of fluid flowwithin a turbine utilizing such a nozzle 200.

With reference to FIG. 1, in various embodiments, the nozzle 200 caninclude a first stage nozzle (L4), second stage nozzle (L3), third stagenozzle (L2), fourth stage nozzle (L1), or fifth stage nozzle (L0). Inparticular embodiments, nozzle 200 is a fourth stage nozzle (L1), andthe improved flow profile across airfoil 200 and endwall 212 interfaceallows that fourth stage nozzle (L1) to withstand high-temperature gasat that fourth stage. In various embodiments, turbine 10 can include aset of nozzles 200 in only the fourth stage (L1) of turbine 10, or inonly the first stage (L4), second stage (L3), third stage (L2), andfourth stage (L1) of turbine 10.

In various embodiments, at least one of endwalls 212 including contour218 can include an inner endwall, e.g., a radially inner endwallconfigured to align on the radially inner side of the static nozzlesection. In other embodiments, at least one of endwalls 212 includingcontour 218 can include an outer endwall, e.g., a radially outer endwallconfigured to align on the radially outer side of the static nozzlesection. In some cases, both endwalls 212 include contour 218, and inother cases, only one of the endwalls 212 includes contour 218.

With reference to FIGS. 2 and 3, in various embodiments, axisymmetriccontour 218 may include a bump 260 along endwall 212 on suction side 204of airfoil 202. Bump 260 can have distinct slopes, e.g., distinct radialv. circumferential ratios. In some cases, bump 260 has a gradient thatis positive or negative, but not equal to zero.

According to various particular embodiments, nozzle 200 has a firstlength L1 measured from a junction 228 of suction side 204 and leadingedge 208 of airfoil 202 along endwall 212 to an outer edge 230 ofendwall 212. In these embodiments, nozzle 200 has a second length L2measured from a junction 232 of pressure side 206 and leading edge 208of airfoil 202 along endwall 212 to an inner edge 234 of endwall 212. Invarious embodiments, first length L1 is distinct from second length L2,and in particular embodiments, second length L2 is greater than firstlength L1.

Turning to FIG. 3, nozzle 202 has a curved axisymmetric contour 218,shown according to various embodiments. FIG. 3 shows a comparisonbetween a typical linear contour 280 and curved axisymmetric contour 218according to various embodiments. Axisymmetric contour 218 is designedto meet surface loading distribution requirements on the suction side204 of the nozzle 202. Axisymmetric contour 218 may include bump 260according to various embodiments. Bump 260 may increase the annulus areaof the plurality of nozzles 200. Bump 260 may locally suppress the flowvelocity near the outer diameter flow path of nozzle 200 according tovarious embodiments.

In various particular embodiments, each bump (thickened area) 260 canextend across approximately at least 10 percent of axial length L_(A)(along axis A) of endwall 212. In some particular cases, each thickenedarea 260 can extend across approximately 20-30 percent of axial lengthL_(A) of endwall 212.

In various particular embodiments, at least one bump 260 on pressureside 206 can have an apex at approximately 50% of the axial chorddownstream of leading edge 208 (+/−10%). In other particularembodiments, at least one bump 260 on suction side 204 can have apex atapproximately 45-55% of the axial cord downstream of leading edge 208(+/−10%). In these cases, bump 260 can extend across an entire pitch ofnozzle 200. The pitch of the nozzle refers to the circumferentialdirection around nozzle 200, along suction side 204 from leading edge totrailing edge

It is understood that in various embodiments, other apex locations arepossible, and those values given herein are merely illustrative ofseveral of the many possible embodiments in accordance with thedisclosure.

With reference to FIG. 4 (and continuing reference to FIGS. 2-3), aplurality of points 270-278 along span S, including root 215 and tip217, can correspond to Z coordinate values of chord lines, and a crosssection of airfoil 202 at each point can be described by a respectiveset of X and Y coordinates. For example, 100 points can be listed foreach cross section 270-278, though it should be apparent that more orfewer points can be used for each cross section, and more or fewer crosssections can be used, as may be desired and/or appropriate. The X, Y,and Z coordinate values in TABLE I have been expressed in normalized ornon-dimensionalized form in values of from 0 to 1, but it should beapparent that any or all of the coordinate values could instead beexpressed in distance units so long as the proportions are maintained.To convert an X, Y or Z value of TABLE I to a respective X, Y or Zcoordinate value in units of distance, such as inches or meters, thenon-dimensional X, Y or Z value given in TABLE I can be multiplied by aleading edge height of airfoil 202 in such units of distance. Byconnecting the X and Y values with smooth continuing arcs, each profilecross section at each distance Z can be fixed, and the airfoil profilesof the various surface locations between the distances Z can bedetermined by smoothly connecting adjacent profile sections to oneanother, thus forming the airfoil profile.

The values in TABLE I are generated and shown to four decimal places fordetermining the profile of at least one of a suction side or a pressureside of a nominal airfoil 202 at ambient, non-operating, or non-hotconditions, and do not take any coatings or fillets into account, thoughembodiments could account for other conditions, coatings, and/orfillets. To allow for typical manufacturing tolerances and/or coatingthicknesses, ±values can be added to the values listed in TABLE I,particularly to the X and Y values therein. For example, a tolerance ofabout 10-20 percent of a thickness of the trailing edge in a directionnormal to any surface location along the airfoil profile can define anairfoil profile envelope for a nozzle airfoil design at cold or roomtemperature. In other words, a distance of about 10-20 percent of athickness of the trailing edge in a direction normal to any surfacelocation along the airfoil profile can define a range of variationbetween measured points on an actual airfoil surface and ideal positionsof those points, particularly at a cold or room temperature, as embodiedby the invention. The nozzle airfoil design, as embodied by theinvention, is robust to this range of variation without impairment ofmechanical and aerodynamic functions. Likewise, the profile and/ordesign can be scaled up or down, such as geometrically, withoutimpairment of operation, and such scaling can be facilitated by use ofnormalized coordinate values, i.e. multiplying the normalized values bya scaling factor, or a larger or smaller number of distance units thanmight have originally been used. For example, the values in TABLE I,particularly the X and Y values, could be multiplied by a scaling factorof 2, 0.5, or any other desired scaling factor. Alternatively, thevalues could be multiplied by a larger or smaller desired span. Asreferenced herein, the origin of the X, Y, Z coordinate system is theroot of the leading edge (junction 232) of airfoil 202.

TABLE I Non-Dimensionalized (X Y Z/Radial Height) N Location X Y Z 1Pressure-Side 0.0000 0.0000 0 2 Pressure-Side 0.0989 0.5387 0 3Pressure-Side 0.3313 0.9356 0 4 Pressure-Side 0.6789 1.2374 0 5Pressure-Side 1.0916 1.4432 0 6 Pressure-Side 1.5325 1.5817 0 7Pressure-Side 1.9853 1.6738 0 8 Pressure-Side 2.4432 1.7349 0 9Pressure-Side 2.9033 1.7790 0 10 Pressure-Side 3.3646 1.8129 0 11Pressure-Side 3.8259 1.8389 0 12 Pressure-Side 4.2877 1.8604 0 13Pressure-Side 4.7496 1.8790 0 14 Pressure-Side 5.2109 1.8988 0 15Pressure-Side 5.6727 1.9220 0 16 Pressure-Side 6.1340 1.9503 0 17Pressure-Side 6.5953 1.9825 0 18 Pressure-Side 7.0560 2.0198 0 19Pressure-Side 7.5161 2.0627 0 20 Pressure-Side 7.9757 2.1108 0 21Pressure-Side 8.4347 2.1651 0 22 Pressure-Side 8.8932 2.2250 0 23Pressure-Side 9.3505 2.2917 0 24 Pressure-Side 9.8067 2.3652 0 25Pressure-Side 10.2617 2.4460 0 26 Pressure-Side 10.7157 2.5336 0 27Pressure-Side 11.1679 2.6297 0 28 Pressure-Side 11.6179 2.7326 0 29Pressure-Side 12.0667 2.8434 0 30 Pressure-Side 12.5138 2.9610 0 31Pressure-Side 12.9587 3.0865 0 32 Pressure-Side 13.4014 3.2188 0 33Pressure-Side 13.8423 3.3584 0 34 Pressure-Side 14.2804 3.5048 0 35Pressure-Side 14.7162 3.6591 0 36 Pressure-Side 15.1492 3.8197 0 37Pressure-Side 15.5800 3.9881 0 38 Pressure-Side 16.0079 4.1628 0 39Pressure-Side 16.4330 4.3448 0 40 Pressure-Side 16.8547 4.5336 0 41Pressure-Side 17.2736 4.7292 0 42 Pressure-Side 17.6891 4.9316 0 43Pressure-Side 18.1012 5.1408 0 44 Pressure-Side 18.5099 5.3567 0 45Pressure-Side 18.9152 5.5789 0 46 Pressure-Side 19.3166 5.8072 0 47Pressure-Side 19.7145 6.0424 0 48 Pressure-Side 20.1091 6.2838 0 49Pressure-Side 20.4992 6.5314 0 50 Pressure-Side 20.8858 6.7846 0 51Pressure-Side 21.2679 7.0441 0 52 Pressure-Side 21.6467 7.3098 0 53Pressure-Side 22.0204 7.5811 0 54 Pressure-Side 22.3906 7.8581 0 55Pressure-Side 22.7564 8.1413 0 56 Pressure-Side 23.1176 8.4291 0 57Pressure-Side 23.4743 8.7230 0 58 Pressure-Side 23.8270 9.0215 0 59Pressure-Side 24.1752 9.3250 0 60 Pressure-Side 24.5195 9.6337 0 61Pressure-Side 24.8592 9.9474 0 62 Pressure-Side 25.1945 10.2657 0 63Pressure-Side 25.5257 10.5879 0 64 Pressure-Side 25.8519 10.9152 0 65Pressure-Side 26.1747 11.2465 0 66 Pressure-Side 26.4924 11.5817 0 67Pressure-Side 26.8061 11.9209 0 68 Pressure-Side 27.1159 12.2640 0 69Pressure-Side 27.4217 12.6111 0 70 Pressure-Side 27.7230 12.9610 0 71Pressure-Side 28.0209 13.3149 0 72 Pressure-Side 28.3149 13.6710 0 73Pressure-Side 28.6054 14.0311 0 74 Pressure-Side 28.8920 14.3934 0 75Pressure-Side 29.1752 14.7586 0 76 Pressure-Side 29.4551 15.1261 0 77Pressure-Side 29.7321 15.4963 0 78 Pressure-Side 30.0051 15.8694 0 79Pressure-Side 30.2753 16.2442 0 80 Pressure-Side 30.5427 16.6213 0 81Pressure-Side 30.8067 17.0011 0 82 Pressure-Side 31.0678 17.3821 0 83Pressure-Side 31.3267 17.7648 0 84 Pressure-Side 31.5828 18.1498 0 85Pressure-Side 31.8372 18.5353 0 86 Pressure-Side 32.0893 18.9226 0 87Pressure-Side 32.3403 19.3115 0 88 Pressure-Side 32.5890 19.7004 0 89Pressure-Side 32.8366 20.0910 0 90 Pressure-Side 33.0820 20.4828 0 91Pressure-Side 33.4579 20.6727 0 92 Suction-Side 33.6365 20.3002 0 93Suction-Side 33.4257 19.8892 0 94 Suction-Side 33.2109 19.4799 0 95Suction-Side 32.9966 19.0707 0 96 Suction-Side 32.7824 18.6608 0 97Suction-Side 32.5681 18.2510 0 98 Suction-Side 32.3544 17.8417 0 99Suction-Side 32.1402 17.4319 0 100 Suction-Side 31.9265 17.0220 0 101Suction-Side 31.7128 16.6122 0 102 Suction-Side 31.4997 16.2024 0 103Suction-Side 31.2860 15.7925 0 104 Suction-Side 31.0729 15.3821 0 105Suction-Side 30.8598 14.9723 0 106 Suction-Side 30.6467 14.5619 0 107Suction-Side 30.4330 14.1521 0 108 Suction-Side 30.2199 13.7422 0 109Suction-Side 30.0062 13.3324 0 110 Suction-Side 29.7925 12.9226 0 111Suction-Side 29.5783 12.5127 0 112 Suction-Side 29.3635 12.1034 0 113Suction-Side 29.1487 11.6942 0 114 Suction-Side 28.9333 11.2855 0 115Suction-Side 28.7174 10.8768 0 116 Suction-Side 28.5008 10.4686 0 117Suction-Side 28.2832 10.0605 0 118 Suction-Side 28.0650 9.6535 0 119Suction-Side 27.8451 9.2465 0 120 Suction-Side 27.6246 8.8406 0 121Suction-Side 27.4031 8.4347 0 122 Suction-Side 27.1798 8.0300 0 123Suction-Side 26.9548 7.6263 0 124 Suction-Side 26.7281 7.2233 0 125Suction-Side 26.4997 6.8219 0 126 Suction-Side 26.2696 6.4211 0 127Suction-Side 26.0367 6.0215 0 128 Suction-Side 25.8021 5.6235 0 129Suction-Side 25.5653 5.2267 0 130 Suction-Side 25.3256 4.8315 0 131Suction-Side 25.0831 4.4381 0 132 Suction-Side 24.8372 4.0464 0 133Suction-Side 24.5879 3.6574 0 134 Suction-Side 24.3352 3.2702 0 135Suction-Side 24.0786 2.8858 0 136 Suction-Side 23.8180 2.5042 0 137Suction-Side 23.5534 2.1249 0 138 Suction-Side 23.2843 1.7490 0 139Suction-Side 23.0113 1.3765 0 140 Suction-Side 22.7326 1.0079 0 141Suction-Side 22.4494 0.6427 0 142 Suction-Side 22.1611 0.2815 0 143Suction-Side 21.8666 −0.0752 0 144 Suction-Side 21.5670 −0.4268 0 145Suction-Side 21.2606 −0.7733 0 146 Suction-Side 20.9486 −1.1136 0 147Suction-Side 20.6297 −1.4483 0 148 Suction-Side 20.3041 −1.7767 0 149Suction-Side 19.9717 −2.0978 0 150 Suction-Side 19.6326 −2.4115 0 151Suction-Side 19.2860 −2.7174 0 152 Suction-Side 18.9322 −3.0147 0 153Suction-Side 18.5715 −3.3036 0 154 Suction-Side 18.2029 −3.5828 0 155Suction-Side 17.8276 −3.8525 0 156 Suction-Side 17.4449 −4.1114 0 157Suction-Side 17.0548 −4.3595 0 158 Suction-Side 16.6574 −4.5958 0 159Suction-Side 16.2533 −4.8197 0 160 Suction-Side 15.8428 −5.0317 0 161Suction-Side 15.4251 −5.2301 0 162 Suction-Side 15.0017 −5.4149 0 163Suction-Side 14.5721 −5.5856 0 164 Suction-Side 14.1374 −5.7417 0 165Suction-Side 13.6970 −5.8836 0 166 Suction-Side 13.2527 −6.0096 0 167Suction-Side 12.8038 −6.1204 0 168 Suction-Side 12.3516 −6.2154 0 169Suction-Side 11.8966 −6.2945 0 170 Suction-Side 11.4387 −6.3573 0 171Suction-Side 10.9785 −6.4036 0 172 Suction-Side 10.5172 −6.4330 0 173Suction-Side 10.0554 −6.4460 0 174 Suction-Side 9.5930 −6.4426 0 175Suction-Side 9.1317 −6.4223 0 176 Suction-Side 8.6710 −6.3850 0 177Suction-Side 8.2120 −6.3313 0 178 Suction-Side 7.7552 −6.2600 0 179Suction-Side 7.3013 −6.1724 0 180 Suction-Side 6.8508 −6.0684 0 181Suction-Side 6.4047 −5.9474 0 182 Suction-Side 5.9638 −5.8095 0 183Suction-Side 5.5280 −5.6552 0 184 Suction-Side 5.0984 −5.4850 0 185Suction-Side 4.6761 −5.2979 0 186 Suction-Side 4.2612 −5.0944 0 187Suction-Side 3.8547 −4.8739 0 188 Suction-Side 3.4579 −4.6371 0 189Suction-Side 3.0712 −4.3844 0 190 Suction-Side 2.6953 −4.1153 0 191Suction-Side 2.3318 −3.8298 0 192 Suction-Side 1.9825 −3.5274 0 193Suction-Side 1.6490 −3.2075 0 194 Suction-Side 1.3335 −2.8694 0 195Suction-Side 1.0373 −2.5144 0 196 Suction-Side 0.7648 −2.1419 0 197Suction-Side 0.5201 −1.7496 0 198 Suction-Side 0.3098 −1.3380 0 199Suction-Side 0.1419 −0.9079 0 200 Suction-Side 0.0317 −0.4596 0 1Pressure-Side −0.6015 −1.7151 10 2 Pressure-Side −0.4941 −1.2442 10 3Pressure-Side −0.2442 −0.8321 10 4 Pressure-Side 0.1317 −0.5285 10 5Pressure-Side 0.5659 −0.3143 10 6 Pressure-Side 1.0243 −0.1588 10 7Pressure-Side 1.4952 −0.0447 10 8 Pressure-Side 1.9712 0.0469 10 9Pressure-Side 2.4500 0.1244 10 10 Pressure-Side 2.9299 0.1911 10 11Pressure-Side 3.4110 0.2521 10 12 Pressure-Side 3.8920 0.3103 10 13Pressure-Side 4.3731 0.3674 10 14 Pressure-Side 4.8547 0.4245 10 15Pressure-Side 5.3358 0.4828 10 16 Pressure-Side 5.8163 0.5432 10 17Pressure-Side 6.2968 0.6071 10 18 Pressure-Side 6.7767 0.6755 10 19Pressure-Side 7.2561 0.7484 10 20 Pressure-Side 7.7343 0.8265 10 21Pressure-Side 8.2120 0.9090 10 22 Pressure-Side 8.6885 0.9966 10 23Pressure-Side 9.1645 1.0893 10 24 Pressure-Side 9.6388 1.1877 10 25Pressure-Side 10.1119 1.2917 10 26 Pressure-Side 10.5845 1.4019 10 27Pressure-Side 11.0548 1.5172 10 28 Pressure-Side 11.5240 1.6393 10 29Pressure-Side 11.9915 1.7682 10 30 Pressure-Side 12.4568 1.9028 10 31Pressure-Side 12.9203 2.0441 10 32 Pressure-Side 13.3821 2.1922 10 33Pressure-Side 13.8417 2.3460 10 34 Pressure-Side 14.2990 2.5065 10 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87Pressure-Side 38.1532 15.7750 60 88 Pressure-Side 38.5014 16.2493 60 89Pressure-Side 38.8468 16.7253 60 90 Pressure-Side 39.1905 17.2024 60 91Pressure-Side 39.5325 17.6806 60 92 Pressure-Side 39.8739 18.1600 60 93Pressure-Side 40.2826 18.5500 60 94 Suction-Side 40.5348 18.1278 60 95Suction-Side 40.5348 18.1278 60 96 Suction-Side 40.2623 17.6066 60 97Suction-Side 39.9893 17.0854 60 98 Suction-Side 39.7168 16.5647 60 99Suction-Side 39.4443 16.0435 60 100 Suction-Side 39.1713 15.5223 60 101Suction-Side 38.8977 15.0017 60 102 Suction-Side 38.6235 14.4816 60 103Suction-Side 38.3493 13.9610 60 104 Suction-Side 38.0741 13.4415 60 105Suction-Side 37.7982 12.9220 60 106 Suction-Side 37.5218 12.4031 60 107Suction-Side 37.2442 11.8847 60 108 Suction-Side 36.9655 11.3669 60 109Suction-Side 36.6857 10.8496 60 110 Suction-Side 36.4042 10.3330 60 111Suction-Side 36.1221 9.8168 60 112 Suction-Side 35.8383 9.3019 60 113Suction-Side 35.5529 8.7875 60 114 Suction-Side 35.2657 8.2742 60 115Suction-Side 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−14.4952 60 172 Suction-Side 11.3776 −14.6388 60 173Suction-Side 10.8038 −14.7671 60 174 Suction-Side 10.2272 −14.8807 60175 Suction-Side 9.6473 −14.9796 60 176 Suction-Side 9.0650 −15.0633 60177 Suction-Side 8.4811 −15.1311 60 178 Suction-Side 7.8954 −15.1832 60179 Suction-Side 7.3081 −15.2193 60 180 Suction-Side 6.7202 −15.2397 60181 Suction-Side 6.1323 −15.2431 60 182 Suction-Side 5.5444 −15.2295 60183 Suction-Side 4.9570 −15.1990 60 184 Suction-Side 4.3708 −15.1515 60185 Suction-Side 3.7863 −15.0854 60 186 Suction-Side 3.2046 −15.0011 60187 Suction-Side 2.6252 −14.8982 60 188 Suction-Side 2.0503 −14.7761 60189 Suction-Side 1.4794 −14.6348 60 190 Suction-Side 0.9141 −14.4731 60191 Suction-Side 0.3556 −14.2883 60 192 Suction-Side −0.1939 −14.0791 60193 Suction-Side −0.7326 −13.8434 60 194 Suction-Side −1.2578 −13.578960 195 Suction-Side −1.7665 −13.2838 60 196 Suction-Side −2.2510−12.9508 60 197 Suction-Side −2.7015 −12.5726 60 198 Suction-Side−3.1023 −12.1436 60 199 Suction-Side 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Suction-Side 13.6111 −15.3505 70 170Suction-Side 13.0345 −15.5472 70 171 Suction-Side 12.4528 −15.7298 70172 Suction-Side 11.8672 −15.8994 70 173 Suction-Side 11.2781 −16.054870 174 Suction-Side 10.6851 −16.1962 70 175 Suction-Side 10.0893−16.3222 70 176 Suction-Side 9.4901 −16.4341 70 177 Suction-Side 8.8881−16.5302 70 178 Suction-Side 8.2838 −16.6111 70 179 Suction-Side 7.6778−16.6761 70 180 Suction-Side 7.0707 −16.7247 70 181 Suction-Side 6.4618−16.7569 70 182 Suction-Side 5.8525 −16.7733 70 183 Suction-Side 5.2431−16.7733 70 184 Suction-Side 4.6337 −16.7558 70 185 Suction-Side 4.0254−16.7213 70 186 Suction-Side 3.4183 −16.6682 70 187 Suction-Side 2.8129−16.5964 70 188 Suction-Side 2.2103 −16.5048 70 189 Suction-Side 1.6111−16.3934 70 190 Suction-Side 1.0164 −16.2623 70 191 Suction-Side 0.4262−16.1091 70 192 Suction-Side −0.1566 −15.9316 70 193 Suction-Side−0.7309 −15.7275 70 194 Suction-Side −1.2940 −15.4941 70 195Suction-Side −1.8428 −15.2295 70 196 Suction-Side −2.3742 −14.9316 70197 Suction-Side −2.8802 −14.5913 70 198 Suction-Side −3.3471 −14.200770 199 Suction-Side −3.7586 −13.7518 70 200 Suction-Side −4.0808−13.2357 70 1 Pressure-Side −4.8926 −14.1928 80 2 Pressure-Side −4.8530−13.5659 80 3 Pressure-Side −4.6218 −12.9813 80 4 Pressure-Side −4.2414−12.4799 80 5 Pressure-Side −3.7733 −12.0571 80 6 Pressure-Side −3.2572−11.6947 80 7 Pressure-Side −2.7106 −11.3793 80 8 Pressure-Side −2.1470−11.0961 80 9 Pressure-Side −1.5732 −10.8338 80 10 Pressure-Side −0.9915−10.5885 80 11 Pressure-Side −0.4042 −10.3578 80 12 Pressure-Side 0.1871−10.1379 80 13 Pressure-Side 0.7818 −9.9254 80 14 Pressure-Side 1.3770−9.7168 80 15 Pressure-Side 1.9734 −9.5105 80 16 Pressure-Side 2.5704−9.3058 80 17 Pressure-Side 3.1679 −9.1023 80 18 Pressure-Side 3.7654−8.8994 80 19 Pressure-Side 4.3624 −8.6953 80 20 Pressure-Side 4.9593−8.4901 80 21 Pressure-Side 5.5551 −8.2832 80 22 Pressure-Side 6.1504−8.0735 80 23 Pressure-Side 6.7445 −7.8609 80 24 Pressure-Side 7.3380−7.6461 80 25 Pressure-Side 7.9299 −7.4279 80 26 Pressure-Side 8.5212−7.2069 80 27 Pressure-Side 9.1108 −6.9830 80 28 Pressure-Side 9.6998−6.7552 80 29 Pressure-Side 10.2866 −6.5240 80 30 Pressure-Side 10.8722−6.2889 80 31 Pressure-Side 11.4562 −6.0497 80 32 Pressure-Side 12.0390−5.8067 80 33 Pressure-Side 12.6196 −5.5591 80 34 Pressure-Side 13.1979−5.3081 80 35 Pressure-Side 13.7750 −5.0526 80 36 Pressure-Side 14.3505−4.7925 80 37 Pressure-Side 14.9237 −4.5285 80 38 Pressure-Side 15.4946−4.2606 80 39 Pressure-Side 16.0639 −3.9881 80 40 Pressure-Side 16.6314−3.7117 80 41 Pressure-Side 17.1962 −3.4308 80 42 Pressure-Side 17.7592−3.1458 80 43 Pressure-Side 18.3200 −2.8564 80 44 Pressure-Side 18.8785−2.5625 80 45 Pressure-Side 19.4347 −2.2646 80 46 Pressure-Side 19.9887−1.9621 80 47 Pressure-Side 20.5399 −1.6552 80 48 Pressure-Side 21.0893−1.3443 80 49 Pressure-Side 21.6354 −1.0288 80 50 Pressure-Side 22.1798−0.7089 80 51 Pressure-Side 22.7213 −0.3850 80 52 Pressure-Side 23.2600−0.0565 80 53 Pressure-Side 23.7959 0.2764 80 54 Pressure-Side 24.32960.6139 80 55 Pressure-Side 24.8598 0.9553 80 56 Pressure-Side 25.38721.3013 80 57 Pressure-Side 25.9124 1.6523 80 58 Pressure-Side 26.43362.0073 80 59 Pressure-Side 26.9525 2.3669 80 60 Pressure-Side 27.46752.7315 80 61 Pressure-Side 27.9796 3.1001 80 62 Pressure-Side 28.48843.4731 80 63 Pressure-Side 28.9938 3.8508 80 64 Pressure-Side 29.49584.2335 80 65 Pressure-Side 29.9943 4.6201 80 66 Pressure-Side 30.48955.0119 80 67 Pressure-Side 30.9802 5.4081 80 68 Pressure-Side 31.46815.8089 80 69 Pressure-Side 31.9514 6.2142 80 70 Pressure-Side 32.43136.6246 80 71 Pressure-Side 32.9067 7.0390 80 72 Pressure-Side 33.37827.4590 80 73 Pressure-Side 33.8445 7.8836 80 74 Pressure-Side 34.30708.3132 80 75 Pressure-Side 34.7643 8.7479 80 76 Pressure-Side 35.21719.1877 80 77 Pressure-Side 35.6648 9.6326 80 78 Pressure-Side 36.106810.0825 80 79 Pressure-Side 36.5444 10.5376 80 80 Pressure-Side 36.975710.9977 80 81 Pressure-Side 37.4014 11.4635 80 82 Pressure-Side 37.821411.9344 80 83 Pressure-Side 38.2357 12.4110 80 84 Pressure-Side 38.643912.8920 80 85 Pressure-Side 39.0469 13.3776 80 86 Pressure-Side 39.444913.8672 80 87 Pressure-Side 39.8383 14.3607 80 88 Pressure-Side 40.227214.8575 80 89 Pressure-Side 40.6122 15.3578 80 90 Pressure-Side 40.993815.8598 80 91 Pressure-Side 41.3737 16.3640 80 92 Pressure-Side 41.751316.8700 80 93 Pressure-Side 42.1278 17.3765 80 94 Pressure-Side 42.546617.8310 80 95 Suction-Side 42.8389 17.4144 80 96 Suction-Side 42.838917.4144 80 97 Suction-Side 42.5461 16.8559 80 98 Suction-Side 42.252716.2968 80 99 Suction-Side 41.9593 15.7383 80 100 Suction-Side 41.665315.1798 80 101 Suction-Side 41.3714 14.6213 80 102 Suction-Side 41.076314.0633 80 103 Suction-Side 40.7807 13.5059 80 104 Suction-Side 40.483912.9491 80 105 Suction-Side 40.1865 12.3923 80 106 Suction-Side 39.888111.8366 80 107 Suction-Side 39.5885 11.2809 80 108 Suction-Side 39.287210.7264 80 109 Suction-Side 38.9847 10.1730 80 110 Suction-Side 38.68069.6196 80 111 Suction-Side 38.3754 9.0678 80 112 Suction-Side 38.06788.5167 80 113 Suction-Side 37.7586 7.9666 80 114 Suction-Side 37.44717.4172 80 115 Suction-Side 37.1340 6.8694 80 116 Suction-Side 36.81856.3233 80 117 Suction-Side 36.5008 5.7778 80 118 Suction-Side 36.18035.2340 80 119 Suction-Side 35.8575 4.6919 80 120 Suction-Side 35.53194.1515 80 121 Suction-Side 35.2035 3.6128 80 122 Suction-Side 34.87223.0757 80 123 Suction-Side 34.5376 2.5404 80 124 Suction-Side 34.20012.0073 80 125 Suction-Side 33.8592 1.4765 80 126 Suction-Side 33.51440.9480 80 127 Suction-Side 33.1662 0.4217 80 128 Suction-Side 32.8140−0.1018 80 129 Suction-Side 32.4573 −0.6230 80 130 Suction-Side 32.0972−1.1408 80 131 Suction-Side 31.7326 −1.6557 80 132 Suction-Side 31.3635−2.1679 80 133 Suction-Side 30.9898 −2.6761 80 134 Suction-Side 30.6111−3.1815 80 135 Suction-Side 30.2284 −3.6829 80 136 Suction-Side 29.8400−4.1803 80 137 Suction-Side 29.4466 −4.6733 80 138 Suction-Side 29.0475−5.1628 80 139 Suction-Side 28.6433 −5.6473 80 140 Suction-Side 28.2335−6.1266 80 141 Suction-Side 27.8180 −6.6015 80 142 Suction-Side 27.3963−7.0712 80 143 Suction-Side 26.9683 −7.5348 80 144 Suction-Side 26.5342−7.9932 80 145 Suction-Side 26.0944 −8.4454 80 146 Suction-Side 25.6478−8.8915 80 147 Suction-Side 25.1950 −9.3307 80 148 Suction-Side 24.7354−9.7631 80 149 Suction-Side 24.2696 −10.1888 80 150 Suction-Side 23.7971−10.6071 80 151 Suction-Side 23.3177 −11.0175 80 152 Suction-Side22.8315 −11.4200 80 153 Suction-Side 22.3386 −11.8140 80 154Suction-Side 21.8389 −12.1995 80 155 Suction-Side 21.3330 −12.5760 80156 Suction-Side 20.8197 −12.9435 80 157 Suction-Side 20.2996 −13.301380 158 Suction-Side 19.7733 −13.6490 80 159 Suction-Side 19.2402−13.9864 80 160 Suction-Side 18.7004 −14.3137 80 161 Suction-Side18.1543 −14.6297 80 162 Suction-Side 17.6015 −14.9344 80 163Suction-Side 17.0430 −15.2284 80 164 Suction-Side 16.4788 −15.5105 80165 Suction-Side 15.9084 −15.7807 80 166 Suction-Side 15.3324 −16.038480 167 Suction-Side 14.7513 −16.2843 80 168 Suction-Side 14.1651−16.5178 80 169 Suction-Side 13.5738 −16.7377 80 170 Suction-Side12.9774 −16.9440 80 171 Suction-Side 12.3765 −17.1368 80 172Suction-Side 11.7716 −17.3160 80 173 Suction-Side 11.1622 −17.4811 80174 Suction-Side 10.5495 −17.6326 80 175 Suction-Side 9.9339 −17.7694 80176 Suction-Side 9.3149 −17.8915 80 177 Suction-Side 8.6930 −17.9989 80178 Suction-Side 8.0684 −18.0910 80 179 Suction-Side 7.4421 −18.1679 80180 Suction-Side 6.8140 −18.2295 80 181 Suction-Side 6.1849 −18.2747 80182 Suction-Side 5.5546 −18.3036 80 183 Suction-Side 4.9237 −18.3154 80184 Suction-Side 4.2923 −18.3109 80 185 Suction-Side 3.6620 −18.2883 80186 Suction-Side 3.0322 −18.2476 80 187 Suction-Side 2.4042 −18.1877 80188 Suction-Side 1.7778 −18.1080 80 189 Suction-Side 1.1549 −18.0073 80190 Suction-Side 0.5359 −17.8864 80 191 Suction-Side −0.0786 −17.7428 80192 Suction-Side −0.6863 −17.5732 80 193 Suction-Side −1.2855 −17.374280 194 Suction-Side −1.8728 −17.1436 80 195 Suction-Side −2.4454−16.8790 80 196 Suction-Side −2.9989 −16.5766 80 197 Suction-Side−3.5246 −16.2272 80 198 Suction-Side −4.0062 −15.8208 80 199Suction-Side −4.4234 −15.3482 80 200 Suction-Side −4.7366 −14.8021 80 1Pressure-Side −5.5020 −15.7993 90 2 Pressure-Side −5.4421 −15.1521 90 3Pressure-Side −5.1668 −14.5636 90 4 Pressure-Side −4.7451 −14.0667 90 5Pressure-Side −4.2476 −13.6444 90 6 Pressure-Side −3.7072 −13.2793 90 7Pressure-Side −3.1408 −12.9542 90 8 Pressure-Side −2.5608 −12.6546 90 9Pressure-Side −1.9712 −12.3748 90 10 Pressure-Side −1.3737 −12.1114 9011 Pressure-Side −0.7705 −11.8609 90 12 Pressure-Side −0.1634 −11.620790 13 Pressure-Side 0.4454 −11.3861 90 14 Pressure-Side 1.0560 −11.154990 15 Pressure-Side 1.6676 −10.9265 90 16 Pressure-Side 2.2804 −10.701090 17 Pressure-Side 2.8932 −10.4760 90 18 Pressure-Side 3.5065 −10.252190 19 Pressure-Side 4.1198 −10.0283 90 20 Pressure-Side 4.7326 −9.802790 21 Pressure-Side 5.3448 −9.5760 90 22 Pressure-Side 5.9565 −9.3477 9023 Pressure-Side 6.5670 −9.1170 90 24 Pressure-Side 7.1769 −8.8841 90 25Pressure-Side 7.7858 −8.6490 90 26 Pressure-Side 8.3940 −8.4110 90 27Pressure-Side 9.0006 −8.1702 90 28 Pressure-Side 9.6066 −7.9265 90 29Pressure-Side 10.2109 −7.6800 90 30 Pressure-Side 10.8140 −7.4296 90 31Pressure-Side 11.4155 −7.1758 90 32 Pressure-Side 12.0153 −6.9180 90 33Pressure-Side 12.6133 −6.6563 90 34 Pressure-Side 13.2097 −6.3906 90 35Pressure-Side 13.8044 −6.1215 90 36 Pressure-Side 14.3974 −5.8479 90 37Pressure-Side 14.9881 −5.5709 90 38 Pressure-Side 15.5777 −5.2894 90 39Pressure-Side 16.1645 −5.0040 90 40 Pressure-Side 16.7496 −4.7145 90 41Pressure-Side 17.3330 −4.4211 90 42 Pressure-Side 17.9141 −4.1238 90 43Pressure-Side 18.4929 −3.8214 90 44 Pressure-Side 19.0695 −3.5155 90 45Pressure-Side 19.6439 −3.2052 90 46 Pressure-Side 20.2159 −2.8903 90 47Pressure-Side 20.7858 −2.5715 90 48 Pressure-Side 21.3527 −2.2487 90 49Pressure-Side 21.9175 −1.9214 90 50 Pressure-Side 22.4799 −1.5896 90 51Pressure-Side 23.0396 −1.2533 90 52 Pressure-Side 23.5969 −0.9129 90 53Pressure-Side 24.1515 −0.5687 90 54 Pressure-Side 24.7032 −0.2193 90 55Pressure-Side 25.2521 0.1340 90 56 Pressure-Side 25.7982 0.4918 90 57Pressure-Side 26.3409 0.8542 90 58 Pressure-Side 26.8813 1.2210 90 59Pressure-Side 27.4183 1.5919 90 60 Pressure-Side 27.9520 1.9678 90 61Pressure-Side 28.4828 2.3482 90 62 Pressure-Side 29.0102 2.7326 90 63Pressure-Side 29.5342 3.1221 90 64 Pressure-Side 30.0548 3.5161 90 65Pressure-Side 30.5721 3.9146 90 66 Pressure-Side 31.0859 4.3171 90 67Pressure-Side 31.5958 4.7247 90 68 Pressure-Side 32.1023 5.1368 90 69Pressure-Side 32.6049 5.5540 90 70 Pressure-Side 33.1034 5.9751 90 71Pressure-Side 33.5981 6.4014 90 72 Pressure-Side 34.0882 6.8321 90 73Pressure-Side 34.5749 7.2679 90 74 Pressure-Side 35.0565 7.7083 90 75Pressure-Side 35.5336 8.1538 90 76 Pressure-Side 36.0057 8.6043 90 77Pressure-Side 36.4737 9.0599 90 78 Pressure-Side 36.9361 9.5212 90 79Pressure-Side 37.3934 9.9870 90 80 Pressure-Side 37.8451 10.4579 90 81Pressure-Side 38.2917 10.9344 90 82 Pressure-Side 38.7326 11.4161 90 83Pressure-Side 39.1673 11.9028 90 84 Pressure-Side 39.5969 12.3946 90 85Pressure-Side 40.0204 12.8909 90 86 Pressure-Side 40.4392 13.3923 90 87Pressure-Side 40.8525 13.8971 90 88 Pressure-Side 41.2617 14.4064 90 89Pressure-Side 41.6659 14.9186 90 90 Pressure-Side 42.0673 15.4341 90 91Pressure-Side 42.4652 15.9514 90 92 Pressure-Side 42.8615 16.4698 90 93Pressure-Side 43.2566 16.9898 90 94 Pressure-Side 43.6851 17.4698 90 95Suction-Side 43.9938 17.0577 90 96 Suction-Side 43.9938 17.0577 90 97Suction-Side 43.6902 16.4799 90 98 Suction-Side 43.3867 15.9016 90 99Suction-Side 43.0825 15.3239 90 100 Suction-Side 42.7778 14.7467 90 101Suction-Side 42.4731 14.1690 90 102 Suction-Side 42.1673 13.5924 90 103Suction-Side 41.8604 13.0164 90 104 Suction-Side 41.5523 12.4404 90 105Suction-Side 41.2431 11.8655 90 106 Suction-Side 40.9327 11.2911 90 107Suction-Side 40.6207 10.7179 90 108 Suction-Side 40.3075 10.1453 90 109Suction-Side 39.9921 9.5732 90 110 Suction-Side 39.6750 9.0028 90 111Suction-Side 39.3561 8.4330 90 112 Suction-Side 39.0350 7.8649 90 113Suction-Side 38.7117 7.2973 90 114 Suction-Side 38.3861 6.7315 90 115Suction-Side 38.0582 6.1673 90 116 Suction-Side 37.7275 5.6043 90 117Suction-Side 37.3946 5.0430 90 118 Suction-Side 37.0582 4.4828 90 119Suction-Side 36.7196 3.9248 90 120 Suction-Side 36.3782 3.3686 90 121Suction-Side 36.0334 2.8140 90 122 Suction-Side 35.6851 2.2617 90 123Suction-Side 35.3341 1.7117 90 124 Suction-Side 34.9791 1.1634 90 125Suction-Side 34.6213 0.6179 90 126 Suction-Side 34.2589 0.0746 90 127Suction-Side 33.8932 −0.4664 90 128 Suction-Side 33.5229 −1.0040 90 129Suction-Side 33.1492 −1.5393 90 130 Suction-Side 32.7705 −2.0712 90 131Suction-Side 32.3884 −2.6003 90 132 Suction-Side 32.0011 −3.1261 90 133Suction-Side 31.6094 −3.6484 90 134 Suction-Side 31.2131 −4.1673 90 135Suction-Side 30.8118 −4.6823 90 136 Suction-Side 30.4053 −5.1933 90 137Suction-Side 29.9938 −5.6998 90 138 Suction-Side 29.5772 −6.2024 90 139Suction-Side 29.1549 −6.7004 90 140 Suction-Side 28.7270 −7.1933 90 141Suction-Side 28.2928 −7.6812 90 142 Suction-Side 27.8530 −8.1639 90 143Suction-Side 27.4076 −8.6405 90 144 Suction-Side 26.9559 −9.1119 90 145Suction-Side 26.4975 −9.5772 90 146 Suction-Side 26.0334 −10.0362 90 147Suction-Side 25.5625 −10.4884 90 148 Suction-Side 25.0848 −10.9333 90149 Suction-Side 24.6009 −11.3714 90 150 Suction-Side 24.1102 −11.802190 151 Suction-Side 23.6128 −12.2250 90 152 Suction-Side 23.1085−12.6393 90 153 Suction-Side 22.5975 −13.0458 90 154 Suction-Side22.0791 −13.4432 90 155 Suction-Side 21.5546 −13.8315 90 156Suction-Side 21.0232 −14.2103 90 157 Suction-Side 20.4845 −14.5794 90158 Suction-Side 19.9395 −14.9389 90 159 Suction-Side 19.3872 −15.287290 160 Suction-Side 18.8287 −15.6252 90 161 Suction-Side 18.2640−15.9525 90 162 Suction-Side 17.6925 −16.2679 90 163 Suction-Side17.1148 −16.5721 90 164 Suction-Side 16.5308 −16.8643 90 165Suction-Side 15.9412 −17.1441 90 166 Suction-Side 15.3460 −17.4121 90167 Suction-Side 14.7451 −17.6670 90 168 Suction-Side 14.1385 −17.909690 169 Suction-Side 13.5274 −18.1385 90 170 Suction-Side 12.9112−18.3550 90 171 Suction-Side 12.2911 −18.5579 90 172 Suction-Side11.6665 −18.7479 90 173 Suction-Side 11.0379 −18.9243 90 174Suction-Side 10.4053 −19.0865 90 175 Suction-Side 9.7699 −19.2352 90 176Suction-Side 9.1306 −19.3691 90 177 Suction-Side 8.4890 −19.4884 90 178Suction-Side 7.8445 −19.5930 90 179 Suction-Side 7.1979 −19.6823 90 180Suction-Side 6.5495 −19.7569 90 181 Suction-Side 5.8994 −19.8163 90 182Suction-Side 5.2476 −19.8598 90 183 Suction-Side 4.5958 −19.8886 90 184Suction-Side 3.9429 −19.9005 90 185 Suction-Side 3.2900 −19.8954 90 186Suction-Side 2.6376 −19.8728 90 187 Suction-Side 1.9859 −19.8315 90 188Suction-Side 1.3363 −19.7705 90 189 Suction-Side 0.6885 −19.6891 90 190Suction-Side 0.0441 −19.5856 90 191 Suction-Side −0.5964 −19.4568 90 192Suction-Side −1.2301 −19.3019 90 193 Suction-Side −1.8564 −19.1164 90194 Suction-Side −2.4709 −18.8960 90 195 Suction-Side −3.0690 −18.636090 196 Suction-Side −3.6450 −18.3284 90 197 Suction-Side −4.1854−17.9633 90 198 Suction-Side −4.6733 −17.5302 90 199 Suction-Side−5.0786 −17.0198 90 200 Suction-Side −5.3686 −16.4364 90 1 Pressure-Side−6.1142 −17.3431 100 2 Pressure-Side −6.1142 −17.3431 100 3Pressure-Side −5.9977 −16.6829 100 4 Pressure-Side −5.6620 −16.1006 1005 Pressure-Side −5.1945 −15.6150 100 6 Pressure-Side −4.6631 −15.2001100 7 Pressure-Side −4.0955 −14.8361 100 8 Pressure-Side −3.5054−14.5088 100 9 Pressure-Side −2.9045 −14.2024 100 10 Pressure-Side−2.2951 −13.9124 100 11 Pressure-Side −1.6800 −13.6354 100 12Pressure-Side −1.0605 −13.3686 100 13 Pressure-Side −0.4375 −13.1097 10014 Pressure-Side 0.1877 −12.8553 100 15 Pressure-Side 0.8135 −12.6026100 16 Pressure-Side 1.4392 −12.3522 100 17 Pressure-Side 2.0661−12.1023 100 18 Pressure-Side 2.6936 −11.8536 100 19 Pressure-Side3.3211 −11.6054 100 20 Pressure-Side 3.9486 −11.3578 100 21Pressure-Side 4.5760 −11.1097 100 22 Pressure-Side 5.2029 −10.8609 10023 Pressure-Side 5.8298 −10.6111 100 24 Pressure-Side 6.4562 −10.3601100 25 Pressure-Side 7.0814 −10.1074 100 26 Pressure-Side 7.7066 −9.8530100 27 Pressure-Side 8.3301 −9.5958 100 28 Pressure-Side 8.9531 −9.3363100 29 Pressure-Side 9.5749 −9.0746 100 30 Pressure-Side 10.1956 −8.8101100 31 Pressure-Side 10.8146 −8.5427 100 32 Pressure-Side 11.4330−8.2730 100 33 Pressure-Side 12.0503 −8.0000 100 34 Pressure-Side12.6659 −7.7241 100 35 Pressure-Side 13.2804 −7.4449 100 36Pressure-Side 13.8932 −7.1628 100 37 Pressure-Side 14.5042 −6.8773 10038 Pressure-Side 15.1136 −6.5879 100 39 Pressure-Side 15.7219 −6.2951100 40 Pressure-Side 16.3279 −5.9989 100 41 Pressure-Side 16.9322−5.6987 100 42 Pressure-Side 17.5342 −5.3946 100 43 Pressure-Side18.1345 −5.0865 100 44 Pressure-Side 18.7326 −4.7744 100 45Pressure-Side 19.3284 −4.4585 100 46 Pressure-Side 19.9226 −4.1385 10047 Pressure-Side 20.5138 −3.8140 100 48 Pressure-Side 21.1034 −3.4850100 49 Pressure-Side 21.6902 −3.1521 100 50 Pressure-Side 22.2742−2.8151 100 51 Pressure-Side 22.8564 −2.4731 100 52 Pressure-Side23.4353 −2.1272 100 53 Pressure-Side 24.0113 −1.7761 100 54Pressure-Side 24.5851 −1.4211 100 55 Pressure-Side 25.1560 −1.0611 10056 Pressure-Side 25.7236 −0.6970 100 57 Pressure-Side 26.2883 −0.3279100 58 Pressure-Side 26.8502 0.0458 100 59 Pressure-Side 27.4087 0.4240100 60 Pressure-Side 27.9644 0.8072 100 61 Pressure-Side 28.5167 1.1945100 62 Pressure-Side 29.0656 1.5868 100 63 Pressure-Side 29.6111 1.9842100 64 Pressure-Side 30.1532 2.3861 100 65 Pressure-Side 30.6914 2.7925100 66 Pressure-Side 31.2261 3.2035 100 67 Pressure-Side 31.7569 3.6201100 68 Pressure-Side 32.2843 4.0407 100 69 Pressure-Side 32.8078 4.4664100 70 Pressure-Side 33.3273 4.8971 100 71 Pressure-Side 33.8428 5.3324100 72 Pressure-Side 34.3539 5.7728 100 73 Pressure-Side 34.8609 6.2182100 74 Pressure-Side 35.3635 6.6682 100 75 Pressure-Side 35.8615 7.1232100 76 Pressure-Side 36.3556 7.5828 100 77 Pressure-Side 36.8445 8.0475100 78 Pressure-Side 37.3284 8.5172 100 79 Pressure-Side 37.8072 8.9927100 80 Pressure-Side 38.2815 9.4726 100 81 Pressure-Side 38.7501 9.9582100 82 Pressure-Side 39.2137 10.4483 100 83 Pressure-Side 39.672710.9429 100 84 Pressure-Side 40.1261 11.4426 100 85 Pressure-Side40.5743 11.9463 100 86 Pressure-Side 41.0175 12.4551 100 87Pressure-Side 41.4562 12.9683 100 88 Pressure-Side 41.8892 13.4856 10089 Pressure-Side 42.3171 14.0068 100 90 Pressure-Side 42.7411 14.5319100 91 Pressure-Side 43.1611 15.0599 100 92 Pressure-Side 43.578915.5896 100 93 Pressure-Side 43.9943 16.1215 100 94 Pressure-Side44.4081 16.6540 100 95 Pressure-Side 44.8672 17.1283 100 96 Suction-Side45.1272 16.6574 100 97 Suction-Side 44.8101 16.0616 100 98 Suction-Side44.4958 15.4652 100 99 Suction-Side 44.1803 14.8683 100 100 Suction-Side43.8649 14.2725 100 101 Suction-Side 43.5483 13.6767 100 102Suction-Side 43.2306 13.0814 100 103 Suction-Side 42.9112 12.4867 100104 Suction-Side 42.5907 11.8932 100 105 Suction-Side 42.2691 11.3002100 106 Suction-Side 41.9452 10.7083 100 107 Suction-Side 41.619610.1176 100 108 Suction-Side 41.2923 9.5274 100 109 Suction-Side 40.96338.9384 100 110 Suction-Side 40.6320 8.3510 100 111 Suction-Side 40.29857.7643 100 112 Suction-Side 39.9627 7.1792 100 113 Suction-Side 39.62416.5953 100 114 Suction-Side 39.2832 6.0130 100 115 Suction-Side 38.94015.4324 100 116 Suction-Side 38.5941 4.8530 100 117 Suction-Side 38.24484.2759 100 118 Suction-Side 37.8932 3.7004 100 119 Suction-Side 37.53823.1266 100 120 Suction-Side 37.1803 2.5546 100 121 Suction-Side 36.81911.9847 100 122 Suction-Side 36.4545 1.4172 100 123 Suction-Side 36.08590.8519 100 124 Suction-Side 35.7145 0.2883 100 125 Suction-Side 35.3392−0.2719 100 126 Suction-Side 34.9604 −0.8304 100 127 Suction-Side34.5772 −1.3861 100 128 Suction-Side 34.1905 −1.9384 100 129Suction-Side 33.7999 −2.4884 100 130 Suction-Side 33.4047 −3.0356 100131 Suction-Side 33.0051 −3.5789 100 132 Suction-Side 32.6009 −4.1193100 133 Suction-Side 32.1922 −4.6563 100 134 Suction-Side 31.7784−5.1894 100 135 Suction-Side 31.3601 −5.7185 100 136 Suction-Side30.9361 −6.2431 100 137 Suction-Side 30.5076 −6.7643 100 138Suction-Side 30.0735 −7.2804 100 139 Suction-Side 29.6337 −7.7925 100140 Suction-Side 29.1882 −8.2990 100 141 Suction-Side 28.7371 −8.8010100 142 Suction-Side 28.2798 −9.2968 100 143 Suction-Side 27.8168−9.7875 100 144 Suction-Side 27.3471 −10.2719 100 145 Suction-Side26.8711 −10.7501 100 146 Suction-Side 26.3889 −11.2216 100 147Suction-Side 25.8999 −11.6863 100 148 Suction-Side 25.4042 −12.1441 100149 Suction-Side 24.9016 −12.5947 100 150 Suction-Side 24.3929 −13.0373100 151 Suction-Side 23.8768 −13.4715 100 152 Suction-Side 23.3533−13.8977 100 153 Suction-Side 22.8236 −14.3154 100 154 Suction-Side22.2860 −14.7236 100 155 Suction-Side 21.7422 −15.1221 100 156Suction-Side 21.1911 −15.5116 100 157 Suction-Side 20.6331 −15.8909 100158 Suction-Side 20.0684 −16.2595 100 159 Suction-Side 19.4963 −16.6179100 160 Suction-Side 18.9180 −16.9650 100 161 Suction-Side 18.3330−17.3013 100 162 Suction-Side 17.7417 −17.6258 100 163 Suction-Side17.1436 −17.9389 100 164 Suction-Side 16.5399 −18.2397 100 165Suction-Side 15.9299 −18.5280 100 166 Suction-Side 15.3149 −18.8050 100167 Suction-Side 14.6942 −19.0690 100 168 Suction-Side 14.0678 −19.3205100 169 Suction-Side 13.4370 −19.5591 100 170 Suction-Side 12.8010−19.7846 100 171 Suction-Side 12.1605 −19.9972 100 172 Suction-Side11.5161 −20.1962 100 173 Suction-Side 10.8677 −20.3821 100 174Suction-Side 10.2154 −20.5546 100 175 Suction-Side 9.5596 −20.7134 100176 Suction-Side 8.9005 −20.8587 100 177 Suction-Side 8.2391 −20.9898100 178 Suction-Side 7.5743 −21.1068 100 179 Suction-Side 6.9079−21.2097 100 180 Suction-Side 6.2386 −21.2979 100 181 Suction-Side5.5681 −21.3708 100 182 Suction-Side 4.8960 −21.4291 100 183Suction-Side 4.2227 −21.4720 100 184 Suction-Side 3.5483 −21.4980 100185 Suction-Side 2.8739 −21.5071 100 186 Suction-Side 2.1995 −21.4986100 187 Suction-Side 1.5252 −21.4715 100 188 Suction-Side 0.8519−21.4251 100 189 Suction-Side 0.1809 −21.3578 100 190 Suction-Side−0.4873 −21.2668 100 191 Suction-Side −1.1515 −21.1481 100 192Suction-Side −1.8101 −21.0000 100 193 Suction-Side −2.4596 −20.8197 100194 Suction-Side −3.0984 −20.6020 100 195 Suction-Side −3.7196 −20.3386100 196 Suction-Side −4.3137 −20.0204 100 197 Suction-Side −4.8683−19.6365 100 198 Suction-Side −5.3595 −19.1752 100 199 Suction-Side−5.7541 −18.6297 100 200 Suction-Side −6.0130 −18.0085 100

Turning to FIG. 5, a schematic view of portions of a multi-shaftcombined cycle power plant 900 is shown. Combined cycle power plant 900may include, for example, a gas turbine 980 operably connected to agenerator 970. Generator 970 and gas turbine 980 may be mechanicallycoupled by a shaft 915, which may transfer energy between a drive shaft(not shown) of gas turbine 980 and generator 970. Also shown in FIG. 5is a heat exchanger 986 operably connected to gas turbine 980 and asteam turbine 992. Heat exchanger 986 may be fluidly connected to bothgas turbine 980 and a steam turbine 992 via conventional conduits(numbering omitted). Gas turbine 980 and/or steam turbine 992 mayinclude one or more nozzles 200 as shown and described with reference toFIG. 2 and/or other embodiments described herein. Heat exchanger 986 maybe a conventional heat recovery steam generator (HRSG), such as thoseused in conventional combined cycle power systems. As is known in theart of power generation, HRSG 986 may use hot exhaust from gas turbine980, combined with a water supply, to create steam which is fed to steamturbine 992. Steam turbine 992 may optionally be coupled to a secondgenerator system 970 (via a second shaft 915). It is understood thatgenerators 970 and shafts 915 may be of any size or type known in theart and may differ depending upon their application or the system towhich they are connected. Common numbering of the generators and shaftsis for clarity and does not necessarily suggest these generators orshafts are identical. In another embodiment, shown in FIG. 6, a singleshaft combined cycle power plant 990 may include a single generator 970coupled to both gas turbine 980 and steam turbine 992 via a single shaft915. Steam turbine 992 and/or gas turbine 980 may include one or morenozzles 200 shown and described with reference to FIG. 2 and/or otherembodiments described herein.

The apparatus and devices of the present disclosure are not limited toany one particular engine, turbine, jet engine, generator, powergeneration system or other system, and may be used with other aircraftsystems, power generation systems and/or systems (e.g., combined cycle,simple cycle, nuclear reactor, etc.). Additionally, the apparatus of thepresent invention may be used with other systems not described hereinthat may benefit from the increased reduced tip leakage and increasedefficiency of the apparatus and devices described herein.

In various embodiments, components described as being “coupled” to oneanother can be joined along one or more interfaces. In some embodiments,these interfaces can include junctions between distinct components, andin other cases, these interfaces can include a solidly and/or integrallyformed interconnection. That is, in some cases, components that are“coupled” to one another can be simultaneously formed to define a singlecontinuous member. However, in other embodiments, these coupledcomponents can be formed as separate members and be subsequently joinedthrough known processes (e.g., fastening, ultrasonic welding, bonding).

The terminology used herein is for the purpose of describing particularexample embodiments only and is not intended to be limiting. As usedherein, the singular forms “a”, “an” and “the” may be intended toinclude the plural forms as well, unless the context clearly indicatesotherwise. The terms “comprises,” “comprising,” “including,” and“having,” are inclusive and therefore specify the presence of statedfeatures, integers, steps, operations, elements, and/or components, butdo not preclude the presence or addition of one or more other features,integers, steps, operations, elements, components, and/or groupsthereof. The method steps, processes, and operations described hereinare not to be construed as necessarily requiring their performance inthe particular order discussed or illustrated, unless specificallyidentified as an order of performance. It is also to be understood thatadditional or alternative steps may be employed.

When an element or layer is referred to as being “on”, “engaged to”,“connected to” or “coupled to” another element or layer, it may bedirectly on, engaged, connected or coupled to the other element orlayer, or intervening elements or layers may be present. In contrast,when an element is referred to as being “directly on,” “directly engagedto”, “directly connected to” or “directly coupled to” another element orlayer, there may be no intervening elements or layers present. Otherwords used to describe the relationship between elements should beinterpreted in a like fashion (e.g., “between” versus “directlybetween,” “adjacent” versus “directly adjacent,” etc.). As used herein,the term “and/or” includes any and all combinations of one or more ofthe associated listed items.

Spatially relative terms, such as “inner,” “outer,” “beneath”, “below”,“lower”, “above”, “upper” and the like, may be used herein for ease ofdescription to describe one element or feature's relationship to anotherelement(s) or feature(s) as illustrated in the figures. Spatiallyrelative terms may be intended to encompass different orientations ofthe device in use or operation in addition to the orientation depictedin the figures. For example, if the device in the figures is turnedover, elements described as “below” or “beneath” other elements orfeatures would then be oriented “above” the other elements or features.Thus, the example term “below” can encompass both an orientation ofabove and below. The device may be otherwise oriented (rotated 90degrees or at other orientations) and the spatially relative descriptorsused herein interpreted accordingly.

The foregoing description of various aspects of the invention has beenpresented for purposes of illustration and description. It is notintended to be exhaustive or to limit the invention to the precise formdisclosed, and obviously, many modifications and variations arepossible. Such modifications and variations that may be apparent to anindividual in the art are included within the scope of the invention asdefined by the accompanying claims.

This written description uses examples to disclose the invention,including the best mode, and also to enable any person skilled in theart to practice the invention, including making and using any devices orsystems and performing any incorporated methods. The patentable scope ofthe invention is defined by the claims, and may include other examplesthat occur to those skilled in the art. Such other examples are intendedto be within the scope of the claims if they have structural elementsthat do not differ from the literal language of the claims, or if theyinclude equivalent structural elements with insubstantial differencesfrom the literal languages of the claims.

We claim:
 1. A turbine nozzle comprising: an airfoil having: a suctionside; a pressure side opposing the suction side; a leading edge spanningbetween the pressure side and the suction side; and a trailing edgeopposing the leading edge and spanning between the pressure side and thesuction side; and at least one endwall connected with the airfoil alongthe suction side, pressure side, trailing edge and the leading edge, theat least one endwall including an axisymmetric contour wherein at leastone of the suction side or the pressure side of the airfoil includes anominal profile substantially in accordance with Cartesian coordinatevalues of X, Y and Z set forth in TABLE I, wherein the coordinate valuesare non-dimensional values of from 0 to 1 convertible to distances bymultiplying the values by a leading edge height expressed in units ofdistance, and wherein X and Y values connected by smooth continuing arcsdefine airfoil profile sections at each distance Z along the airfoil,the profile sections at the Z distances being joined smoothly with oneanother to form the airfoil profile, wherein the Cartesian coordinatevalues have an origin at a root of the leading edge of the airfoil. 2.The turbine nozzle of claim 1, further comprising a fillet connecting asurface of the endwall to a surface of the airfoil.
 3. The turbinenozzle of claim 1, wherein the turbine nozzle includes a fourth stagenozzle.
 4. The turbine nozzle of claim 1, wherein the at least oneendwall directs flow of a working fluid through the axisymmetriccontour.
 5. The turbine nozzle of claim 1, wherein the at least oneendwall includes an inner endwall or an outer endwall.
 6. The turbinenozzle of claim 1, wherein the axisymmetric contour includes a thickenedarea having an apex at approximately 50% axial chord downstream of theleading edge.
 7. The turbine nozzle of claim 6, wherein the thickenedarea extends across at least approximately 10 percent of an axial lengthof the endwall, and extends across an entire pitch of the turbinenozzle.
 8. The turbine nozzle of claim 6, wherein the thickened areaextends across approximately 20 percent to approximately 30 percent ofan axial length of the endwall.
 9. A static nozzle section comprising: aset of static nozzles, the set of static nozzles including at least onenozzle having: an airfoil having: a suction side; a pressure sideopposing the suction side; a leading edge spanning between the pressureside and the suction side; and a trailing edge opposing the leading edgeand spanning between the pressure side and the suction side; and atleast one endwall connected with the airfoil along the suction side,pressure side, trailing edge and the leading edge, the at least oneendwall including an axisymmetric contour, wherein at least one of thesuction side or the pressure side of the airfoil includes a nominalprofile substantially in accordance with Cartesian coordinate values ofX, Y and Z set forth in TABLE I, wherein the coordinate values arenon-dimensional values of from 0 to 1 convertible to distances bymultiplying the values by a leading edge height expressed in units ofdistance, and wherein X and Y values connected by smooth continuing arcsdefine airfoil profile sections at each distance Z along the airfoil,the profile sections at the Z distances being joined smoothly with oneanother to form the airfoil profile, wherein the Cartesian coordinatevalues have an origin at a root of the leading edge of the airfoil. 10.The static nozzle section of claim 9, further comprising a filletconnecting a surface of the endwall to a surface of the airfoil.
 11. Thestatic nozzle section of claim 9, wherein the turbine nozzle includes afourth stage nozzle.
 12. The static nozzle section of claim 9, whereinthe axisymmetric contour includes a thickened area having an apex atapproximately 50% axial chord downstream of the leading edge.
 13. Thestatic nozzle section of claim 12, wherein the thickened area extendsacross at least approximately 10 percent of an axial length of theendwall, and extends across an entire pitch of the turbine nozzle. 14.The static nozzle section of claim 12, wherein the thickened areaextends across approximately 20 percent to approximately 30 percent ofan axial length of the endwall.
 15. The static nozzle section of claim9, wherein the at least one endwall directs flow of a working fluidthrough the axisymmetric contour.
 16. A turbine nozzle comprising: anairfoil having: a suction side; a pressure side opposing the suctionside; a leading edge spanning between the pressure side and the suctionside; and a trailing edge opposing the leading edge and spanning betweenthe pressure side and the suction side; and at least one endwallconnected with the airfoil along the suction side, pressure side,trailing edge and the leading edge, wherein at least one of the pressureside or the suction side of the airfoil includes a nominal profilesubstantially in accordance with Cartesian coordinate values of X, Y andZ set forth in TABLE I, wherein the coordinate values arenon-dimensional values of from 0 to 1 convertible to distances bymultiplying the values by a leading edge height expressed in units ofdistance, and wherein X and Y values connected by smooth continuing arcsdefine airfoil profile sections at each distance Z along the airfoil,the profile sections at the Z distances being joined smoothly with oneanother to form the airfoil profile, wherein the Cartesian coordinatevalues have an origin at a root of the leading edge of the airfoil. 17.The turbine of claim 16, wherein the at least one endwall includes anaxisymmetric contour.
 18. The turbine of claim 17, wherein theaxisymmetric contour includes a thickened area having an apex atapproximately 50% axial chord downstream of the leading edge.
 19. Theturbine of claim 17, wherein the thickened area extends across at leastapproximately 10 percent of an axial length of the endwall, and extendsacross an entire pitch of the turbine nozzle.